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Finding the Fourth Proportional to 22,976,672.96, 31,707,397.32 and 12,522,783.44

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Solution

The fourth proportional to 22,976,672.96, 31,707,397.32 and 12,522,783.44 is: 17,281,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976,672.96 : 31,707,397.32 = 12,522,783.44 : x
  2. Step 2: Convert to fraction form
    22,976,672.96/31,707,397.32 = 12,522,783.44/x
  3. Step 3: Cross multiply
    22,976,672.96x = 31,707,397.32 × 12,522,783.44
  4. Step 4: Simplify right side
    22,976,672.96x = 397,064,870,084,396.38
  5. Step 5: Solve for x
    x = 397,064,870,084,396.38/22,976,672.96
  6. Step 6: Final answer
    x = 17,281,216.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.